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23212001000 = 235389260809
BaseRepresentation
bin10101100111100010…
…110000011011101000
32012220200110211021202
4111213202300123220
5340014233013000
614355145423332
71451133516206
oct254742603350
965820424252
1023212001000
119931629a01
1245b979ab48
13225bc88a46
1411a2b16076
1590cc39dd5
hex5678b06e8

23212001000 has 64 divisors (see below), whose sum is σ = 54926586000. Its totient is φ = 9180441600.

The previous prime is 23212000951. The next prime is 23212001009. The reversal of 23212001000 is 10021232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5134756 + 23206866244 = 2266^2 + 152338^2 .

It is not an unprimeable number, because it can be changed into a prime (23212001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41405 + ... + 219404.

Almost surely, 223212001000 is an apocalyptic number.

23212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212001000 is an abundant number, since it is smaller than the sum of its proper divisors (31714585000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23212001000 is a wasteful number, since it uses less digits than its factorization.

23212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260919 (or 260905 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 23212001000 its reverse (10021232), we get a palindrome (23222022232).

The spelling of 23212001000 in words is "twenty-three billion, two hundred twelve million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 260809 521618 1043236 1304045 2086472 2608090 5216180 6520225 10432360 13040450 23212001 26080900 32601125 46424002 52161800 65202250 92848004 116060005 130404500 185696008 232120010 260809000 464240020 580300025 928480040 1160600050 2321200100 2901500125 4642400200 5803000250 11606000500 23212001000